Question

Melanie is making necklaces in four different lengths. In each necklace, the ratio of blue beads to orange beads remains the same

Answer 1

Complete Question

Melanie is making necklaces in four different lengths. n each necklace, the ratio of blue beads to orange beads remains the same. How many orange beads will Melanie need for a necklace of 50 beads?

Answer:

Melanie will need a total of 25 orange beads for a necklace of 50 beads

Explanation:

Given

Ratio of blue beads to orange beads is the same.

This can be represented as 1:1

Required

Number of orange beads needed for a necklace of 50 beads.

From the given data, we have that the ratio of blue beads to orange beads is the same.

i.e. Blue:Orange = 1:1

To calculate the number of orange beads needed,

First, we have to convert the ratio to fraction.

This is done as follows;

Fraction of orange beads = Ratio of orange beads divided by Total Ratio

Ratio of orange beads = 1

Total Ratio = 1 + 1 = 2

Hence,

Fraction of orange beads =
`(1)/(2)`

This fraction will then be multiplied by the total number of beads to give the number of orange beads needed.

Number of orange beads needed =
`(1)/(2) * 50`

Number of orange beads needed =
`(50)/(2)`

Number of orange beads needed =
`25`

Hence, Melanie will need a total of 25 orange beads for a necklace of 50 beads